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Higher spins from tensorial charges and OSp(N|2n) symmetry

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Published 18 April 2003 Published under licence by IOP Publishing Ltd
, , Citation Mikhail Plyushchay et al JHEP04(2003)013 DOI 10.1088/1126-6708/2003/04/013

1126-6708/2003/04/013

Abstract

It is shown that the quantization of a superparticle propagating in an N = 1, D = 4 superspace extended with tensorial coordinates results in an infinite tower of massless spin states satisfying the Vasiliev unfolded equations for free higher spin fields in flat and AdS4 N = 1 superspace. The tensorial extension of the AdS4 superspace is proved to be a supergroup manifold OSp(1|4). The model is manifestly invariant under OSp(N|8) (N = 1,2) superconformal symmetry. As a byproduct, we find that the Cartan forms of arbitrary Sp(2n) and OSp(1|2n) groups are GL(2n) flat, i.e. they are equivalent to flat Cartan forms up to an exactly determined GL(2n) rotation. This property is crucial for carrying out the quantization of the particle model on OSp(1|4) and getting the higher spin field dynamics in super AdS4, which can be performed in a way analogous to the flat case.

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10.1088/1126-6708/2003/04/013